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Finding the Fourth Proportional to 77,452, 116,197.44 and 22,048

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Solution

The fourth proportional to 77,452, 116,197.44 and 22,048 is: 33,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,452 : 116,197.44 = 22,048 : x
  2. Step 2: Convert to fraction form
    77,452/116,197.44 = 22,048/x
  3. Step 3: Cross multiply
    77,452x = 116,197.44 × 22,048
  4. Step 4: Simplify right side
    77,452x = 2,561,921,157.12
  5. Step 5: Solve for x
    x = 2,561,921,157.12/77,452
  6. Step 6: Final answer
    x = 33,077.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.